That doesn't necessarily work...and I speak from experience. In college, I was in a production of THE BAKER'S WIFE. I, a honky, was playing the Baker and the girl playing Genevieve (the wife) is black. And I posed a problem that was never addressed.
The story is of an older man marrying a much younger woman. All of the villagers are gossips who can't get over the relationship between this homely old man and this beautiful young girl. Problem was, our Genevieve was the only black person on the stage. So...for the first half-hour of the show, it looked like it was a town full of racists freaking out over a mixed marriage. Which can be interesting...no doubt...problem was our director never addressed it. So...in the end, the wrong message was sent.
To ignore the reality on stage is, I believe, artistically irresponsible in some situations. If you can't change the text, encourage your actors to find a rich and compelling subtext that informs the show.
Even something like the revival of CAROUSEL, I believe, used colorblind casting to make a point about the universality of the story.
"I'm so looking forward to a time when all the Reagan Democrats are dead."